24x^2-36-[8(x^2-1)+2]=

Solution for 24x^2-36-[8(x^2-1)+2]= equation:

Simplifying
24x2 + -36 + -1[8(x2 + -1) + 2] = 0

Reorder the terms:
24x2 + -36 + -1[8(-1 + x2) + 2] = 0
24x2 + -36 + -1[(-1 * 8 + x2 * 8) + 2] = 0
24x2 + -36 + -1[(-8 + 8x2) + 2] = 0

Reorder the terms:
24x2 + -36 + -1[-8 + 2 + 8x2] = 0

Combine like terms: -8 + 2 = -6
24x2 + -36 + -1[-6 + 8x2] = 0
24x2 + -36 + [-6 * -1 + 8x2 * -1] = 0
24x2 + -36 + [6 + -8x2] = 0

Reorder the terms:
-36 + 6 + 24x2 + -8x2 = 0

Combine like terms: -36 + 6 = -30
-30 + 24x2 + -8x2 = 0

Combine like terms: 24x2 + -8x2 = 16x2
-30 + 16x2 = 0

Solving
-30 + 16x2 = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '30' to each side of the equation.
-30 + 30 + 16x2 = 0 + 30

Combine like terms: -30 + 30 = 0
0 + 16x2 = 0 + 30
16x2 = 0 + 30

Combine like terms: 0 + 30 = 30
16x2 = 30

Divide each side by '16'.
x2 = 1.875

Simplifying
x2 = 1.875

Take the square root of each side:
x = {-1.369306394, 1.369306394}